Solve x-3(x-6)=5(x 1)

Question

Solve the equation

x = \frac{18}{7}

Alternative Form

x = 2. \dot{5} 7142 \dot{8}

Evaluate

x - 3 (x - 6) = 5 (x \times 1)

Remove the parentheses

x - 3 (x - 6) = 5 x \times 1

Multiply the terms

x - 3 (x - 6) = 5 x

Move the expression to the left side

x - 3 (x - 6) - 5 x = 0

Subtract the terms

More Steps

Evaluate

x - 5 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 5) x

Subtract the numbers

- 4 x

- 4 x - 3 (x - 6) = 0

Calculate

More Steps

Evaluate

- 4 x - 3 (x - 6)

Expand the expression

More Steps

Calculate

- 3 (x - 6)

Apply the distributive property

- 3 x - (- 3 \times 6)

Multiply the numbers

- 3 x - (- 18)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 3 x + 18

- 4 x - 3 x + 18

Subtract the terms

More Steps

Evaluate

- 4 x - 3 x

Collect like terms by calculating the sum or difference of their coefficients

(- 4 - 3) x

Subtract the numbers

- 7 x

- 7 x + 18

- 7 x + 18 = 0

Move the constant to the right-hand side and change its sign

- 7 x = 0 - 18

Removing 0 doesn't change the value,so remove it from the expression

- 7 x = - 18

Change the signs on both sides of the equation

7 x = 18

Divide both sides

\frac{7 x}{7} = \frac{18}{7}

Solution

x = \frac{18}{7}

Alternative Form

x = 2. \dot{5} 7142 \dot{8}

Show Solution

Rewrite the equation

7 x = 18

Evaluate

x - 3 (x - 6) = 5 (x \times 1)

Evaluate

More Steps

Evaluate

x - 3 (x - 6)

Expand the expression

More Steps

Calculate

- 3 (x - 6)

Apply the distributive property

- 3 x - (- 3 \times 6)

Multiply the numbers

- 3 x - (- 18)

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

- 3 x + 18

x - 3 x + 18

Subtract the terms

More Steps

Evaluate

x - 3 x

Collect like terms by calculating the sum or difference of their coefficients

(1 - 3) x

Subtract the numbers

- 2 x

- 2 x + 18

- 2 x + 18 = 5 (x \times 1)

Evaluate

More Steps

Evaluate

5 (x \times 1)

Remove the parentheses

5 x \times 1

Multiply the terms

5 x

- 2 x + 18 = 5 x

Move the variable to the left side

- 7 x + 18 = 0

Move the constant to the right side

- 7 x = - 18

Solution

7 x = 18

Show Solution

Solve the equation

Rewrite the equation

Graph